Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064r |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-624078985571385344 = -1 · 214 · 72 · 115 · 136 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 11- 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,129392,-33521504] |
[a1,a2,a3,a4,a6] |
Generators |
[801:24167:1] |
Generators of the group modulo torsion |
j |
14622648823378944/38090758396691 |
j-invariant |
L |
3.518023616906 |
L(r)(E,1)/r! |
Ω |
0.14882273586299 |
Real period |
R |
1.1819509959363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064y1 8008d1 |
Quadratic twists by: -4 8 |